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ELEN [110]
3 years ago
9

The circumference of the smaller is 30% of the circumference of the larger circle. Find the circumference of the larger circle.

Round your answer to the nearest tenth

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
8 0

<u>Given</u>:

The circumference of the smaller is 30% of the circumference of the larger circle.

We need to determine the circumference of the larger circle.

<u>Diameter of the larger circle:</u>

The diameter of the smaller circle is 9 in.

Since, the circumference of the smaller is 30% of the circumference of the larger circle, we have;

S=0.3L

where S is the circumference of the smaller circle and L is the circumference of the larger circule.

\pi(9)=(0.3)\pi d

    9=0.3d

  30=d

Thus, the diameter of the larger circle is 30 inches.

<u>Circumference of the larger circle:</u>

The circumference of the larger circle is given by

C=\pi d

C=3.14\times 30

C=94.2

Thus, the circumference of the larger circle is 94.2 inches.

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